基于MTS-Choquet群决策法的隧道施工方法优化研究

MTS-Choquet group decision-making method-based study on optimization of tunnel construction method

目前隧道施工方法选择主要以经验为主,以相应数值模拟结果分析为辅,其优化决策理论研究方面比较滞后。为此,基于马田系统(MTS)、Choquet模糊积分、群决策和信噪比等基本理论,建立了隧道施工方法优选决策模型。该模型以施工环境等6个指标构成评价指标体系,依托区间数构建各专家h决策矩阵及异常工法区间矩阵,并聚合群决策矩阵和相关规范化,然后基于标准差、方差、马氏距离理论求解各子属性集Y_(q)下异常工法区间矩阵间的马氏距离矩阵,进而由望大特性信噪比求得各属性模糊测度值,最后分别按工法各属性、各工法计算Choquet模糊积分综合评价值并排序,确定最优隧道施工方法。将该模型应用于怀阳高速公路马咀隧道Ⅳ级围岩,对CD(I_(1))、CRD(I_(2))、双侧壁导坑开挖(I_(3))三种工法进行了评判,得到了其优劣排序为I_(3)>I_(2)>I_(1),即该隧道Ⅳ级围岩最优施工方法为双侧壁导坑法,这与目前经验认知结果一致。

Based on the basic theories,i.e.Mahalanobis-Taguchi System(MTS),Martin System,Choquet fuzzy integral,group decision making,signal-noise ratio,etc.,a decision-making model for optimizing tunnel construction method is established.For which six indexes,such as construction environment,etc.are taken for building up the evaluation index system,and then the h decision matrix of each expert and the interval matrix of unconventional construction method are built up in accordance with the relevant interval number,while the group decision matrix and the related normalization are aggregated as well.Afterwards,the Mahalanobis distance matrix among the interval matrices of unconventional construction methods under each sub-attribute set Y q are solved on the basis of standard deviation,variance and Mahalanobis distance theory.Furthermore,the fuzzy measure values of all the attributes are obtained with the relevant larger-the-better characteristic signal-noise ratio.Finally,the optimal tunnel construction method is determined in accordance with all the attributes of all the construction methods,the calculated comprehensive evaluation values of Choquet fuzzy integral of all the construction methods and their sequence orders.The model is applied to the grade IV surrounding rock of Mazui Tunnel of Huaiyang Expressway for evaluating the three construction methods,i.e.CD(I_(1)),CRD(I_(2))and double side-wall heading excavation,from which it is obtained that the ranking of their merit and defect is I_(3)>I_(2)>I_(1),that is to say,the double side-wall heading excavation method is the optimal construction method for the construction of the grade IV surrounding rock of the tunnel,which is consistent with the empirical cognitive result at present.